- Open Access
Topological-mass control of an emergent Kondo scale in an interacting Su-Schrieffer-Heeger chain
Phys. Rev. Research 8, 023243 – Published 3 June, 2026
DOI: https://doi.org/10.1103/42vy-6vdw
Abstract
Topological bound states emerging at domain walls of dimerized chains provide a robust platform for exploring correlation effects beyond single-particle physics. When such a soliton state is coupled to a metallic substrate, local Coulomb interactions can give rise to Kondo screening. Here, we demonstrate analytically and numerically that, in an interacting Su-Schrieffer-Heeger chain, the Kondo temperature is directly controlled by the topological mass that governs the bulk gap. Near the topological transition, the Kondo scale collapses linearly with the mass parameter while retaining its exponential sensitivity to hybridization. This establishes a minimal mechanism by which a bulk topological parameter quantitatively determines an emergent many-body energy scale. Our results clarify the strong configuration dependence of soliton-induced Kondo signatures observed in graphene nanoribbon systems on Au(111) and provide experimentally testable predictions for scanning tunneling spectroscopy.
Physics Subject Headings (PhySH)
Article Text
References (18)
- W. P. Su, J. R. Schrieffer, and A. J. Heeger, Solitons in polyacetylene, Phys. Rev. Lett. 42, 1698 (1979).
- A. J. Heeger, S. Kivelson, J. R. Schrieffer, and W. P. Su, Solitons in conducting polymers, Rev. Mod. Phys. 60, 781 (1988).
- O. Gröning et al., Engineering of robust topological quantum phases in graphene nanoribbons, Nature (London) 560, 209 (2018).
- S. Rizzo et al., Topological band engineering of graphene nanoribbons, Nature (London) 560, 204 (2018).
- S. Rachel, Interacting topological insulators: A review, Rep. Prog. Phys. 81, 116501 (2018).
- J. Kondo, Resistance minimum in dilute magnetic alloys, Prog. Theor. Phys. 32, 37 (1964).
- A. C. Hewson, The Kondo Problem to Heavy Fermions, Cambridge Studies in Magnetism (Cambridge University Press, Cambridge, England, 1993).
- A. A. Aligia, A. M. Lobos, L. P. Gavensky, and C. J. Gazza, Probing boundary spins in the Su-Schrieffer-Heeger-Hubbard model, Phys. Rev. B 112, 235156 (2025).
- R. Ortiz, Topological edge states in a double isomeric class-II oligo(indenoindene), Theor. Chem. Acc. 144, 91 (2025).
- P. Ruffieux et al., On-surface synthesis of graphene nanoribbons with zigzag edge topology, Nature (London) 531, 489 (2016).
- J. Li, S. Sanz, M. Corso, D. J. Choi, D. Peña, T. Frederiksen, and J. I. Pascual, Single spin localization and manipulation in graphene open-shell nanostructures, Nat. Commun. 10, 200 (2019).
- A. Zhao, Q. Li, L. Chen, H. Xiang, W. Wang, S. Pan, B. Wang, X. Xiao, J. Yang, J. G. Hou, and Q. Zhu, Controlling the Kondo effect of an adsorbed magnetic ion through its chemical bonding, Science 309, 1542 (2005).
- K. J. Franke, G. Schulze, and J. I. Pascual, Competition of superconducting phenomena and Kondo screening at the nanoscale, Science 332, 940 (2011).
- J. B. Neaton, M. S. Hybertsen, and S. G. Louie, Renormalization of molecular electronic levels at metal-molecule interfaces, Phys. Rev. Lett. 97, 216405 (2006).
- V. Madhavan, W. Chen, T. Jamneala, M. F. Crommie, and N. S. Wingreen, Tunneling into a single magnetic atom: Spectroscopic evidence of the Kondo resonance, Science 280, 567 (1998).
- U. Fano, Effects of configuration interaction on intensities and phase shifts, Phys. Rev. 124, 1866 (1961).
- K. Nagaoka, T. Jamneala, M. Grobis, and M. F. Crommie, Temperature dependence of a single Kondo impurity, Phys. Rev. Lett. 88, 077205 (2002).
- S. A. H. Gangaraj, C. Valagiannopoulos, and F. Monticone, Topological scattering resonances at ultralow frequencies, Phys. Rev. Res. 2, 023180 (2020).